Write ln2x+2lnx-ln3y as a single logarithm.

a. ln(2x/3y)

b. ln(3x/3y)

c. ln(2x^3/3y)

d. ln(x^3/3y)

answer is c. ln(2x^3/3y) on edge!

Option C.

Step-by-step explanation:

The given logarithmic expression is:

Using the power rule of logarithms: , the above expression can be written as:

Using the product rule of logarithms: , the above expression can be simplified further to:

Using the quotient rule of logarithms: , the above expression can be written as:

Hence option C gives the correct simplified answer.

step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)